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Finding the Fourth Proportional to 545.86, 818.91 and 180.63

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Solution

The fourth proportional to 545.86, 818.91 and 180.63 is: 270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.86 : 818.91 = 180.63 : x
  2. Step 2: Convert to fraction form
    545.86/818.91 = 180.63/x
  3. Step 3: Cross multiply
    545.86x = 818.91 × 180.63
  4. Step 4: Simplify right side
    545.86x = 147,919.71
  5. Step 5: Solve for x
    x = 147,919.71/545.86
  6. Step 6: Final answer
    x = 270.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.